Answer:
1.08321 ×10¹²
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3/14
There's no way to simplify
Answer:
a) 0.9961
b) 0.9886
Step-by-step explanation:
We are given the following information:
We treat passenger not showing up as a success.
P(passenger not showing up) = 0.10
Then the number of passengers follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 125
a) probability that every passenger who shows up can take the flight
![P(x \geq 5) = 1- P(x = 0) - P(x = 1)-P(x = 2) - P(x = 3) - P(x = 4) \\= 1-\binom{125}{0}(0.10)^0(1-0.10)^{125} -...-\binom{125}{4}(0.10)^4(1-0.10)^{121}\\=0.9961](https://tex.z-dn.net/?f=P%28x%20%5Cgeq%205%29%20%3D%201-%20P%28x%20%3D%200%29%20-%20P%28x%20%3D%201%29-P%28x%20%3D%202%29%20-%20P%28x%20%3D%203%29%20-%20P%28x%20%3D%204%29%20%5C%5C%3D%201-%5Cbinom%7B125%7D%7B0%7D%280.10%29%5E0%281-0.10%29%5E%7B125%7D%20-...-%5Cbinom%7B125%7D%7B4%7D%280.10%29%5E4%281-0.10%29%5E%7B121%7D%5C%5C%3D0.9961)
b) probability that the flight departs with empty seats
![P(x > 5) =P(x\geq 5) - P(x = 5) \\= 0.9961 -\binom{125}{5}(0.10)^5(1-0.10)^{120}\\=0.9961-0.0075\\ = 0.9886](https://tex.z-dn.net/?f=P%28x%20%3E%205%29%20%3DP%28x%5Cgeq%205%29%20-%20P%28x%20%3D%205%29%20%5C%5C%3D%200.9961%20-%5Cbinom%7B125%7D%7B5%7D%280.10%29%5E5%281-0.10%29%5E%7B120%7D%5C%5C%3D0.9961-0.0075%5C%5C%20%3D%200.9886)
When you add the prices of the items you get a total of $17.74. If there is no tax you simply add 75 cents to 17.74 to get the amount paid therefore the answer is 18.49
Answer:
Stays the same. OR Standard form: 9x^2+3x+8
Step-by-step explanation:
You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???